Axisymmetric bending and buckling analysis of thick functionally graded circular plates using unconstrained third-order shear deformation plate theory

2009 ◽  
Vol 89 (1) ◽  
pp. 110-119 ◽  
Author(s):  
A.R. Saidi ◽  
A. Rasouli ◽  
S. Sahraee
Keyword(s):  
Shear Deformation ◽  
Plate Theory ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Circular Plates ◽  
Third Order ◽  
Shear Deformation Plate Theory ◽  
Axisymmetric Bending

On the high temperature mechanical behaviors analysis of heated functionally graded plates using FEM and a new third-order shear deformation plate theory

2016 ◽  
Vol 92 ◽  
pp. 218-241 ◽  
Author(s):  
Tinh Quoc Bui ◽  
Thom Van Do ◽  
Lan Hoang That Ton ◽  
Duc Hong Doan ◽  
Satoyuki Tanaka ◽  
...  
Keyword(s):  
High Temperature ◽  
Shear Deformation ◽  
Plate Theory ◽  
Functionally Graded ◽  
Functionally Graded Plates ◽  
Mechanical Behaviors ◽  
Third Order ◽  
Shear Deformation Plate Theory

Analysis of bi-directional functionally graded plates by FEM and a new third-order shear deformation plate theory

2017 ◽  
Vol 119 ◽  
pp. 687-699 ◽  
Author(s):  
Thom Van Do ◽  
Dinh Kien Nguyen ◽  
Nguyen Dinh Duc ◽  
Duc Hong Doan ◽  
Tinh Quoc Bui
Keyword(s):  
Shear Deformation ◽  
Plate Theory ◽  
Functionally Graded ◽  
Functionally Graded Plates ◽  
Third Order ◽  
Shear Deformation Plate Theory

Axisymmetric Solutions of Functionally Graded Circular and Annular Plates Using Second-Order Shear Deformation Plate Theory

2006 ◽  
Author(s):  
Ali Reza Saidi ◽  
Shahab Sahraee
Keyword(s):  
Shear Deformation ◽  
Volume Fraction ◽  
Plate Theory ◽  
Second Order ◽  
Functionally Graded ◽  
Power Law Distribution ◽  
Classical Plate Theory ◽  
Maximum Displacement ◽  
Shear Deformation Plate Theory ◽  
Axisymmetric Bending

In this paper, axisymmetric bending and stretching of functionally graded solid circular and annular plate is studied based on the second-order shear deformation plate theory (SST). The solutions for deflections, force and moment resultants of the second-order theory are presented in terms of the corresponding quantities of the isotropic plates based on the classical plate theory from which one can easily obtain the SST solutions for axisymmetric bending of functionally graded circular plates. It is assumed that the mechanical properties of the functionally graded plates vary continuously through the thickness of the plate and obey a power law distribution of the volume fraction of the constituents. Numerical results for maximum displacement are presented for various percentages of ceramic-metal volume-fractions and have been compared with those obtained from first-order shear deformation plate theory (FST).

Thermomechanical postbuckling analysis of eccentrically stiffened FGM sandwich plates with general Sigmoid and power laws based on TSDT

2016 ◽  
Vol 20 (8) ◽  
pp. 907-945 ◽  
Author(s):  
Dao Van Dung ◽  
Nguyen Thi Nga
Keyword(s):  
Shear Deformation ◽  
Material Properties ◽  
Plate Theory ◽  
Geometrical Nonlinearity ◽  
Power Laws ◽  
Functionally Graded ◽  
Sandwich Plates ◽  
Temperature Dependent ◽  
Third Order ◽  
Shear Deformation Plate Theory

The buckling and postbuckling behaviors of eccentrically stiffened sandwich plates on elastic foundations subjected to in-plane compressive loads, thermal loads, or thermomechanical loads are presented analytically by using the Reddy’s third-order shear deformation plate theory with von Karman geometrical nonlinearity. Four cases of general Sigmoid and power laws are considered. The material properties of the facesheets, the core layer, and stiffeners are assumed to be temperature-dependent. Theoretical formulations based on the smeared stiffeners technique and third-order shear deformation plate theory are derived. The expressions of thermal parameters are found in the analytical form. Applying the Galerkin method, the expressions for determination of the critical buckling load and analysis of the postbuckling mechanical and thermal load–deflection curves are obtained. The iterative algorithm is presented for the case of temperature-dependent plate material properties. In addition, the influences of thermal element, functionally graded material stiffeners, the facesheet thickness to total thickness ratio, initial imperfection, and foundations are clarified in detail.

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